基于反比例函数的变步长雷达自适应滤波算法

摘要

针对由雷达探测精度带来的测距误差、测方位误差和测高误差对导航定位的影响,分析了影响雷达探测精度的误差因素,提出了基于反比例函数的变步长自适应滤波算法,该算法通过建立步长与信号采样时间的k次幂的反比例函数关系,使得稳态误差强制收敛,有效减小了雷达探测误差对导航定位的影响.实例仿真结果表明,该算法不仅能够抑制随雷达探测距离的增大而线性递增的雷达探测误差,而且在实验条件和稳态误差标准完全相同的情况下,有更快的收敛速度和更小的稳态误差,为导航定位中雷达数据处理提供了理论和技术参考.%Aiming at the influence of ranging error, azimuth error and altimeter error caused by radar detection accuracy on navigation and positioning, the error factors were analyzed and a variable step size adaptive filtering algorithm based on inverse proportion function was proposed.By setting the inverse function relation with step-size and k-th power of sampling time, the steady-state error was forced convergence and the algorithm effectively reduced the impact of radar on navigation positioning error.The simulation results showed that the proposed algorithm not only could effectively suppress the linearly increasing radar detection error along with increasing radar detection range, but also had faster convergence speed and smaller steady-state error under the same experimental condition and steady-state error standard.